QUESTION 3
If the alternative hypothesis has a mathematical sign of not equal (≠) and the experimental Z value is +3.0 then the p – value is 0.0027.
True
False
QUESTION 4
When the mean is 52, the sample size is 25, and the standard deviation is 2, the probability of committing Type II error when P( 50 < < 54) is one (1).
True
False
3)
p value for above test statistic and two tailed test =2*P(Z>3) =2*0.00135 =0.0027
true
4)
sample size =n= | 25 |
std error=σx̅=σ/√n= | 0.40 |
probability =P(50<X<54)=P((50-52)/0.4)<Z<(54-52)/0.4)=P(-5<Z<5)=1-0=1.0000 |
true
QUESTION 3 If the alternative hypothesis has a mathematical sign of not equal (≠) and the...
QUESTION 1 The sample size is not one of the causes of committing an statistical error. True False QUESTION 2 If the alternative hypothesis has a mathematical sign of above (>) and the experimental Z value is +2.52 then the p – value is 0.994132. True False
QUESTION 4 When the mean is 52, the sample size is 25, and the standard deviation is 2, the probability of committing Type II error when P( 50 < < 54) is one (1). True False
Question 21 (4 points) For a hypothesis test about a population proportion or mean, if the level of significance is less than the p- value, the null hypothesis is rejected. (Ch10) True False Question 22 (4 points) Everything else being constant, increasing the sample size decreases the probability of committing a Type II error. (Ch10) True False The power of a statistical test is the probability of not rejecting the null hypothesis when it is true. (Ch10) True False Question...
QUESTION 5
The power of the statistical test is zero (0) when the mean is
52, the sample size is 25, and the standard deviation is 2, and the
probability of committing Type II error when P is one (1) (previous
problem).
True
False
5 5
Suppose the null hypothesis is Ho : µ = 500 against Ha : > µ = 500 , and the significance level for this testing is 0.05. The population in question is normally distributed with standard deviation 100. A random sample of size n=25 will be used. If the true alternative mean is 550, then the probability of committing the type II error is ____.
α is the probability of a Type I error, which occurs when we accept the alternative H1 when the null hypothesis Ho is true. True False A Type II error occurs when when a false null hypothesis is rejected. True False If a null hypothesis is rejected at the 5% significance level but not at the 1% significance level, then the p-value of the test is less than 1%. True False The power of a test is the probability of...
In order to test whether a certain coin is fair, it is tossed ten times and the number of heads (X) is counted. Let p be the "head probability". We wish to test the null hypothesis: p = 0.5 against the alternative hypothesis: p > 0.5 at a significance level of 5%. (a) Suppose we will reject the null hypothesis when X is smaller than h. Find the value of h. (b) What is the probability of committing a type...
a is .05 and N-25, the probability of rejecting the null hypothesis if the mull hypothesis is true is: a. .os b..95 c. 05/25 - 01 d..95/25 = .19 e. insufficient information to answer as the popu 4. The sampling distribution of the mean always has the same distribution of the raw scores. a. mean b. standard deviation c. skew d. a and b e. all of the above S. If the sample size on which a standard deviation is...
1. In testing hypotheses, the researcher initially assumes that the alternative hypothesis is true and uses the sample data to reject it. True False 2. The first step in testing a hypothesis is to establish a true null hypothesis and a false alternative hypothesis. True False 6. The power curve provides the probability of Correctly accepting the null hypothesis Incorrectly accepting the null hypothesis Correctly rejecting the alternative hypothesis Correctly rejecting the null hypothesis 7. Suppose that Ho: μ ≤...
QUESTION 1 1. The sample variance or the sample standard deviation are good approximate of the population variance or standard deviation? True or False QUESTION 2 1. The Central limit theorem states that the individual results or when n is 1 in an experiment that unique outcome follow a Normal Distribution? True or False QUESTION 3 1. In hypothesis testing alpha is the probability of being judged correct? True or False QUESTION 4 1. If the critical Z is ±...